Question:
If A and B are two sets, then A ∩ (A ∪ B)' is equal to ____________.
Solution:
For sets A and B
A ∩ (A ⋃ B)'
= A ⋂ (A' ∩ B')
= (A ∩ A') ∩ B' (using associative properly of sets)
= ϕ ∩ B'
Hence, A ∩ (A ⋃ B)' = ϕ
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.